Speaker
Description
In this talk, I will present a Fock space structure that can be naturally equipped to the diffeomorphism invariant Hilbert space of loop quantum gravity (LQG), under certain assumptions. In it, the role of one-particle excitations is played by the diffeomorphism invariant states based on graphs with a single (linked) component. While the structure of the single-particle Hilbert space in this context can be arbitrarily complex, I will show that we can, nevertheless, quantitatively write some condensate states of group field theory (GFT) as diffeomorphism invariant coherent Fock states in LQG hence formally bridging between the two approaches. I will also comment on the quantum geometry of these single and multi-particle states and how can they be tentatively interpreted as well as discuss how the coherent states obtained in this work relate to a more general concept of graph coherent states previously proposed by M. Assanioussi (Phys. Rev. D 101, 124022).
